The Irregular figure can be broken into a triangle and a rectangle as shown with the dashed line.

Given:

Given that the irregular figure is broken into a triangle and a rectangle.

We need to determine the length b, the area of the triangle , the area of the rectangle and the area of the irregular figure.

Length of b:

The length of b , the base of the triangle is given by

Simplifying, we get;

Thus, the length of the base of the triangle is

Area of the triangle:

The area of the triangle can be determined using the formula,

Substituting and , we get;

Thus, the area of the triangle is 4 square feet.

Area of the rectangle:

The area of the rectangle can be determined using the formula,

where l = 5 ft, , we get;

Thus, the area of the rectangle is

Area of the irregular figure:

The area of the irregular figure can be determined by adding the area of the triangle and the area of the rectangle.

Thus, we have;

Area = Area of the triangle + Area of the rectangle

Substituting the values, we have;

Thus, the area of the irregular figure is 10.667 square feet.

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